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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 393, page id 1815201908:0450
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

ud
les;
une
F
ulu
P A R A B OL A
coram habCE AL 4d F C+3 exit d AB ad B C, ralto criplicata racionis AF, ad
F C, id cA AF. ad C C, id est AD ad DC. Ouod CTAtdCMOMIEA.
EROPOSITTO. L XV I.
IIdem poliris ducatur ex D ordinarim linea D FI, uungacurqe HB:
Dicoangulum ABF, linca HIB dinilum essc bitariam.
Demonstratio.
Voniam anguli AF B, EIDB, recti Cune,
Creliqui duo anguli ABF, BAF reliquis
AIBD, DHB aequales sunc. Scd B A F angu-
10 aequatur a ansulus FBG, duo igieur an-
suli LR G, AB E aequales suncduobus FTBD,
BIID: id est angulo HBD bis lumpro, ob
FTD, DB  lincas aquales: dempro igieur
communiangulo FBC, manencanguli duo
LIBD, IIBE aquales angulo ABF: a qui-
bus curlum E communem demas angulum
EIBD; reliqui ABH, HB F aequales manen.
Duoderac demonstrandum.
B0ne  P R O P OSIFIO LXFIL.
DArabolam ABC, cuius diamecer BD, Concingat in SIIILA D L; C
quouis aurem puncto A in perimerro assumpeo dueta ordinacim
AD iunctilq. AB punctis lumatur in contingence punctum quodeum-
que F, ex quo linea demictatur FG, parallel2 diametro BD, OCCUTFeNS
parabole inC, AB iunctx in HI, ec ordinarim posirxe in C.
DicoF C, FHI, F C lincas in continua esseanalosia.
Demonstratio.
LiRecta ex A dIAMCTEF A L OC.
currac concingenei in F, &
per C ordinatim ponaeur IK sC-
CanS AB, AF. lincas in L ex Y,
e BD diametrum in R. VERI
ad R C, sic BP eAt ad BHI, id
es FC ad FHI: XVE CRad IR.
id est F B, ad F B, GC F HI est ad
E A, id est ad F O: Sed LR, CR.
IR, linex sunc continuac proporcionales; igitur _ FC, FHI, FC linex in conci- c A2. huiue
nua lunc analosia. Duod exac demonstrandum.
EROPOSITIO LXVI II.
Iidem dacis lumatur in concingente quoaus punctum et Guo
Lcur FH parallela BD, occurrenslinex AB in FI.
DicoHI C esead C F ve AH ad HI B.
2 Coroll. 35.
uius
Demon-